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Finding the Fourth Proportional to 513,668.64, 770,645.10 and 214,290.20

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Solution

The fourth proportional to 513,668.64, 770,645.10 and 214,290.20 is: 321,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,668.64 : 770,645.10 = 214,290.20 : x
  2. Step 2: Convert to fraction form
    513,668.64/770,645.10 = 214,290.20/x
  3. Step 3: Cross multiply
    513,668.64x = 770,645.10 × 214,290.20
  4. Step 4: Simplify right side
    513,668.64x = 165,141,692,608.02
  5. Step 5: Solve for x
    x = 165,141,692,608.02/513,668.64
  6. Step 6: Final answer
    x = 321,494.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.